%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET096-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:43:06 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 65 ( 29 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 20 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( null_class = X0
| member(regular(X0),X0) ),
inference(reorient_equations,[],[f67]) ).
fof(f101,negated_conjecture,
subclass(x,singleton(y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).
fof(f102,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).
fof(f103,plain,
null_class != x,
inference(reorient_equations,[],[f102]) ).
fof(f104,negated_conjecture,
singleton(y) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).
fof(f105,plain,
x != singleton(y),
inference(reorient_equations,[],[f104]) ).
fof(f154,plain,
subclass(x,unordered_pair(y,y)),
inference(definition_unfolding,[],[f101,f12]) ).
fof(f155,plain,
x != unordered_pair(y,y),
inference(definition_unfolding,[],[f105,f12]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,X0)
| ~ subclass(X0,X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f160,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f161,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f162,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f201,plain,
! [X0] :
( ~ member(regular(X0),X0)
| null_class = X0 ),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f239,plain,
( ~ subclass(unordered_pair(y,y),x)
| x = unordered_pair(y,y) ),
inference(resolution,[],[f7,f154]) ).
fof(f240,plain,
~ subclass(unordered_pair(y,y),x),
inference(forward_subsumption_resolution,[],[f239,f155]) ).
fof(f267,plain,
! [X2,X0,X1] :
( subclass(unordered_pair(X0,X1),X2)
| not_subclass_element(unordered_pair(X0,X1),X2) = X1
| not_subclass_element(unordered_pair(X0,X1),X2) = X0 ),
inference(resolution,[],[f162,f160]) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( ~ subclass(X3,unordered_pair(X1,X2))
| X0 = X2
| member(X0,X3)
| X0 = X1 ),
inference(resolution,[],[f162,f159]) ).
fof(f645,plain,
! [X0] :
( y = X0
| member(X0,x)
| y = X0 ),
inference(resolution,[],[f268,f154]) ).
fof(f646,plain,
! [X0] :
( member(X0,x)
| y = X0 ),
inference(duplicate_literal_removal,[],[f645]) ).
fof(f676,plain,
( y = regular(x)
| null_class = x ),
inference(resolution,[],[f646,f201]) ).
fof(f683,plain,
y = regular(x),
inference(forward_subsumption_resolution,[],[f676,f103]) ).
fof(f817,plain,
( ~ member(y,x)
| null_class = x ),
inference(superposition,[],[f201,f683]) ).
fof(f818,plain,
~ member(y,x),
inference(forward_subsumption_resolution,[],[f817,f103]) ).
fof(f846,plain,
( y = not_subclass_element(unordered_pair(y,y),x)
| y = not_subclass_element(unordered_pair(y,y),x) ),
inference(resolution,[],[f267,f240]) ).
fof(f852,plain,
y = not_subclass_element(unordered_pair(y,y),x),
inference(duplicate_literal_removal,[],[f846]) ).
fof(f1154,plain,
( member(y,x)
| subclass(unordered_pair(y,y),x) ),
inference(superposition,[],[f161,f852]) ).
fof(f1157,plain,
subclass(unordered_pair(y,y),x),
inference(forward_subsumption_resolution,[],[f1154,f818]) ).
fof(f1161,plain,
$false,
inference(forward_subsumption_resolution,[],[f1157,f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET096-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 00:42:57 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.50 % (3369142)Will run a generic schedule for satisfiability detection.
% 0.16/0.50 % (3369152)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=83748059:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.50 % (3369148)% WARNING: option uhcvi not known.
% 0.16/0.50 % (3369150)dis+10_1_sil=32000:sp=arity:random_seed=3704248718:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.50 % (3369147)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3580004453_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.50 % (3369148)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=896216184:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.50 % (3369151)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1188128345:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.50 % (3369149)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3056904080:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.50 % (3369153)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=667032950:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.50 % (3369152)Instruction limit reached!
% 0.16/0.50 % (3369152)------------------------------
% 0.16/0.50 % (3369152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (3369152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (3369152)CaDiCaL version: 2.1.3
% 0.16/0.50 % (3369152)Termination reason: Instruction limit
% 0.16/0.50 % (3369152)Termination phase: Saturation
% 0.16/0.50 % (3369152)Time elapsed: 0.043 s
% 0.16/0.50 % (3369152)Peak memory usage: 12 MB
% 0.16/0.50 % (3369152)Instructions burned: 134 (million)
% 0.16/0.50 % (3369148) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3369142-3369148"...
% 0.16/0.50 % (3369148)...printing done.
% 0.16/0.50 % (3369148)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (3369148)------------------------------
% 0.16/0.50 % (3369148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (3369148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (3369148)CaDiCaL version: 2.1.3
% 0.16/0.50 % (3369148)Termination reason: Refutation
% 0.16/0.50 % (3369148)Time elapsed: 0.039 s
% 0.16/0.50 % (3369148)Peak memory usage: 12 MB
% 0.16/0.50 % (3369148)Instructions burned: 53 (million)
% 0.16/0.50 % (3369142)Success in time 0.078 s
% 0.16/0.50 % Vampire exiting
%------------------------------------------------------------------------------